arXiv:math/0508024 Abstract

arXiv:math/0508024 [math.DS]Abstract References Reviews Resources

Volume preserving codimension one Anosov flows in dimensions greater than three are suspensions

Published 2005-07-31, updated 2014-03-11Version 4

We show that every volume preserving codimension one Anosov flow on a closed Riemannian manifold of dimension greater than three admits a global cross section and is therefore topologically conjugate to a suspension of a linear toral automorphism. This proves a conjecture of Verjovsky from the 1970's in the volume preserving case.

Comments: This paper has been withdrawn by the author due the fact that Theorem 3.1 is false. We apologize for the tardiness of this withdrawal

Categories: math.DS, math.DG

Subjects: 37D20

Keywords: volume preserving codimension, anosov flow, dimensions greater, suspension, linear toral automorphism

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